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Finding the Third Proportional to 305,969 and 666,375

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Solution

The third proportional to 305,969 and 666,375 is: 1,451,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,969 : 666,375 = 666,375 : x
  2. Step 2: Convert to fraction form
    305,969/666,375 = 666,375/x
  3. Step 3: Cross multiply
    305,969x = 666,375 × 666,375
  4. Step 4: Simplify right side
    305,969x = 444,055,640,625
  5. Step 5: Solve for x
    x = 444,055,640,625/305,969
  6. Step 6: Final answer
    x = 1,451,309.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.